Given:
The expression is:
![13+23+12+7](https://tex.z-dn.net/?f=13%2B23%2B12%2B7)
To find:
The value of the given expression by using Commutative and Associative properties of numbers.
Solution:
We have,
![13+23+12+7](https://tex.z-dn.net/?f=13%2B23%2B12%2B7)
Applying parenthesis and brackets, we get
![=[13+(23+12)]+7](https://tex.z-dn.net/?f=%3D%5B13%2B%2823%2B12%29%5D%2B7)
[Commutative properties of numbers]
[Associative properties of numbers]
![=(25+23)+7](https://tex.z-dn.net/?f=%3D%2825%2B23%29%2B7)
Using Associative properties of numbers, we get
[Associative properties of numbers]
Therefore, the value of the given expression 55.
It depends where you introduce constant
Exponential function: f(x) = e^x
y = e^x + c ----> shift function up c units
y = e^(x−c) ----> shift function right c units
y = e^(cx) ------> dilates function horizontally by factor of 1/c
y = c e^x -------> dilates function vertically by factor of c